流形P上向量场在余切丛T~*P上的拓展及有关讨论  

PROLONGING VECTOR FIELD  ON THE MANIFOLD P TO THE COTANGENT BUNDLE T* P AND SOME DISCUSSION WITH RELATION TO THE PROLONGATION

作　　者：王宝勤[1] 刘亚军[1] 

机构地区：[1]新疆师范大学数学系,乌鲁木齐830054

出　　处：《新疆师范大学学报（自然科学版）》2000年第3期1-5,共5页Journal of Xinjiang Normal University(Natural Sciences Edition)

摘　　要：本文先给出流形Ｐ上的向量场Ｃ在余切丛Ｔ＊Ｐ上拓展的表达式，继而给出Ｃ作用于或Ｃ受导子作用结果的三个命题．在此基础上，最后用公式给出关于拓展Ｔ＊（Ｃ）的性质的三个命题．In this paper,first,we give the expression of prolongation in which vector C prolongs to the cotangent bundle T*P;then we get three propositions about the results that C acts on or is affected by operator of derivastion. On these basis,we get three propositions about properties of prolongation T*(C).

关 键 词：辛流形 余切丛 拓展 向量场 辛向量场 李代数 

分 类 号：O186.16[理学—数学] O187[理学—基础数学]